Engineering Transactions, 40, 2, pp. 203-211, 1992

Parametric Optimization of a Rod Subject to Forced Torsional Vibratiom

A.S. Foryś
Institute of Physics, Kraków University of Technology, Kraków
Poland

Forced torsional vibration of a rod madeof a Kelvin-Voigt viscoelastic material is analyzed. The rod has the form of a truncated cone. One end of the rod is loaded by a harmonically variable torque, the other end is rigidly fixed. Vibrational amplitude of the cross-section subject to external excitation is the objective function its minimum determines the optimum shape of the rod. The results derived are based on the solution consisting of the first term of its expansion due to the Galerkin method; the results are illustrated by graphs.

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References

M.H.S.ELWANY and A.D.S.BARR, Some optimization problems in torsional vibration, J. of Sound Vibr., 57, 1-33, 1978.

M.H.S.ELWANY and A.D.S.BARR, Minumum weight design of beams in torsional vibration with several frequency constraints, J. of Sound Vibr., 62, 411-425, 1979.

M.H.S.ELWANY and A.D.S.BARR, Optimal design of beams in torsion under periodic loading, J. of Sound Vibr., 95, 375-388, 1984.

A.FORYŚ and A.S.FORYŚ, Forced torsional vibrations of a rod made of visco-elastic material [in Polish], Rozpr. Inż., 18, 41 703-714, 1970.

A.S.FORYŚ and A.GAJEWSKI, Parametric optimization of a viscoelastic rod with respect to its dynamic stability [in Polish], Rozpr. Inż., 35, 2, 297-308, 1987.

S.KALISKI [ED.], Engineering Mechanics, Vol. 3. Vibrations and waves, PWN, Warszawa 1986.




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